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10210010000 = 24541021001
BaseRepresentation
bin10011000001001000…
…00110001110010000
3222100112221020200112
421200210012032100
5131402230310000
64405043540452
7511004440001
oct114044061620
928315836615
1010210010000
11436a3146a3
121b8b38a728
13c6936aa48
146cbdcd1a8
153eb543235
hex260906390

10210010000 has 50 divisors (see below), whose sum is σ = 24719479422. Its totient is φ = 4084000000.

The previous prime is 10210009969. The next prime is 10210010009. The reversal of 10210010000 is 1001201.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 2003099536 + 8206910464 = 44756^2 + 90592^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10210010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 500501 + ... + 520500.

Almost surely, 210210010000 is an apocalyptic number.

10210010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210010000 is an abundant number, since it is smaller than the sum of its proper divisors (14509469422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10210010000 is an equidigital number, since it uses as much as digits as its factorization.

10210010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021029 (or 1021008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10210010000 its reverse (1001201), we get a palindrome (10211011201).

The spelling of 10210010000 in words is "ten billion, two hundred ten million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1021001 2042002 4084004 5105005 8168008 10210010 16336016 20420020 25525025 40840040 51050050 81680080 102100100 127625125 204200200 255250250 408400400 510500500 638125625 1021001000 1276251250 2042002000 2552502500 5105005000 10210010000